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Describing maximal orders in quaternion algebras.

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#number-theory #lattice-orders #quaternions
89
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How to rotate a path in 3D (computer sciences)

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#3d #rotations #quaternions #programming
2.6k
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If there are any 3nion, 5nion, 7nion, 9nion, 10nion, etc.

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#complex-numbers #quaternions #octonions
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How to create a Quaternion rotation from a forward- and up- vector?

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#vectors #3d #rotations #quaternions #programming
226
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Left (right) eigenvalues of quaternion Matrix

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#eigenvalues-eigenvectors #intuition #quaternions
140
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Group Automorphisms of Norm 1 Groups in Quaternion Algebras

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#abstract-algebra #quaternions #automorphism-group
818
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Find the rotation from two sets of 3 vectors?

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#linear-algebra #quaternions
142
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Matrices over quaternions make Hopf Algebra or not?

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#abstract-algebra #matrices #quaternions #hopf-algebras
138
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Why convert Quaternion to Euler Angle

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#trigonometry #rotations #quaternions
216
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Constructing quaternions - proof that square of each imaginary unit is -1

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#linear-algebra #quaternions #invariant-theory
533
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Angular error (in Euler angles) through quaternions

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#quaternions #orientation #robotics
371
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Quaternion conjugation map is orthogonal linear transformation

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#lie-groups #lie-algebras #quaternions
30
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Euler angle in two given coordinates

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#rotations #quaternions
3.4k
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Norm of Quaternion

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#quaternions
30
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Vector part of $q^* v r$, what does it mean?

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#quaternions

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